Course Solutions Uncategorized (Solved) : Construct Cubic Spline Interpolant S Function F Defined Numbers Xo X1 N Satisfying S S Xn Q32218404 . . . .

(Solved) : Construct Cubic Spline Interpolant S Function F Defined Numbers Xo X1 N Satisfying S S Xn Q32218404 . . . .

June 27, 2024June 27, 2024| adminadmin| 0 Comment| 8:19 pm
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To construct the cubic spline interpolant S for the function f, defined at the numbers Xo 〈 X1 〈 〈n, satisfying S(%)-S(Xn) 0: INPUT n; Xo, X1 , . . . , Xn, ao-: f(%) , a OUTPUT aj, bi, ci, for j = 0, 1 , . . . , n an f(%) Step 1 For i 0,1,...,n- 1 set h, Xi+1 -X Step 2 For i 1,2,... ,n- 1 set a(a1 -a) Step 3 Set lo 1; Ho 0; Zo -0. (Steps 3-5, & part of 6 solve tridiagonal Step 4 For i=1,2, ,n-1 3 3 ai -aj-1 linear system by method in Algorithm 6.7.) Step 5 Set In 1; Zn0; Cn0 Step 6 For j n -1, n - 2,... ,0 Step 7 OUTPUT (aj, bj, ci, for j 0.1 , . . . , n-1); STOPconvert

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